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» Inequalities for Shannon Entropy and Kolmogorov Complexity
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JCSS
2000
76views more  JCSS 2000»
13 years 4 months ago
Inequalities for Shannon Entropy and Kolmogorov Complexity
Daniel Hammer, Andrei E. Romashchenko, Alexander S...
COCO
2000
Springer
112views Algorithms» more  COCO 2000»
13 years 9 months ago
Combinatorial Interpretation of Kolmogorov Complexity
Kolmogorov’s very first paper on algorithmic information theory (Kolmogorov, Problemy peredachi infotmatsii 1(1) (1965), 3) was entitled “Three approaches to the definition ...
Andrei E. Romashchenko, Alexander Shen, Nikolai K....
CORR
2004
Springer
110views Education» more  CORR 2004»
13 years 4 months ago
Shannon Information and Kolmogorov Complexity
The elementary theories of Shannon information and Kolmogorov complexity are cmpared, the extent to which they have a common purpose, and where they are fundamentally different. T...
Peter Grünwald, Paul M. B. Vitányi
CAE
2007
13 years 7 months ago
Conceptualizing Birkhoff's Aesthetic Measure Using Shannon Entropy and Kolmogorov Complexity
In 1928, George D. Birkhoff introduced the Aesthetic Measure, defined as the ratio between order and complexity, and, in 1965, Max Bense analyzed Birkhoff's measure from an i...
Jaume Rigau, Miquel Feixas, Mateu Sbert
CORR
2010
Springer
144views Education» more  CORR 2010»
13 years 2 months ago
Kolmogorov Complexity in perspective. Part I: Information Theory and Randomnes
We survey diverse approaches to the notion of information: from Shannon entropy to Kolmogorov complexity. Two of the main applications of Kolmogorov complexity are presented: rand...
Marie Ferbus-Zanda, Serge Grigorieff